29/3 - 17/3
15/3 is your answer, or 5
It takes three copies of 1/6 to show the same amount as one copy of 1/2.
Why this is is because a sixth is smaller than a half. There are six sixths in a whole. There are only two halves in a whole.
So when you divide the whole into six parts, you would need half of the parts to have a half. Like down here: <em>(not correct to scale, sorry)</em>
|-------------------|----------------------|
|-----|------|-------|------|-------|-------|
It takes 3 of the sixths to = 1 half.
another way you can check is by simplifying your fractions.
3/6, when you divide by 3 top and bottom, = 1/2
I hope this answers your question somewhat. Please ask if there's anything more
Answer:
18 hours
Step-by-step explanation:
You know that 15cm burns in 6 hours. That means that for every 15cm that burns after that, it will be another 6 hours for each.
This gives us the means to find out how long it takes for the 45 cm candle to burn.
We want to know how many 15 cm candles fit into this 45 cm candle. To do this, we must divide: 45 ÷ 15 in order to find how how many 15 cm and 6 hour-burning candles make up the 45 cm candle
45 ÷ 15 = 3, so 3 candles, each of which take 6 hours to burn, fit into the candle
Now, all we have to do is multiply 6 by 3 in order to find out how many hours it takes for 3 candles to burn!
6 • 3 = 18, so it will take 18 hours for the candle to burn
The time taken for the smaller pipe to fill the pool by itself is 15.71 hours
<h3>Rate of work</h3>
- Time taken for both pipes = 6 hours
- Time taken for long pipe = x
- Time taken for small pipe = x + 6
- Rate of work of both pipes = 1/6
- Rate of work of long pipe = 1/x
- Rate of work of small pipe = 1/x + 6
1/6 = 1/x + 1/(x+6)
1/6 = (x+6)+(x) / (x)(x+6)
1/6 = (x+6+x) / x²+6x
1/6 = (2x+6)(x² + 6x)
1(x² + 6x) = 6(2x+6)
x² + 6x = 12x + 36
x² + 6x - 12x - 36 = 0
x² - 6x - 36 = 0
x = 9.71 or -3.71
The value of x cannot be negative
Therefore, the
Time taken for long pipe = x
= 9.71 hours
Time taken for small pipe = x + 6
= 9.71 + 6
= 15.71 hours
Learn more about rate of work:
brainly.com/question/24900258
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